Finite Group Databasebeta

← Group #11882337

Character table — Group #11882337

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order1222334444666666346661212121212121212121222444412121212226666121212121212124668888121212126666664444121212121212121224242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-11111111-1-111111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ91111111-1-111111111-1111-1-111-1-11-1-111111-1-1-1-1-1-11-111-1-1-111-1-1-1-1-11111-1-111-1-11-111-1-111-1-111-1-111-1-111-1-111-1-1-11
χ101111111-1-111111111-1111-1-111-1-11-1-111111-1-1-1-1-1-11-111-1-1-111-1-1-1-1-111-1-11111-1-11-111-1-1-11-11-1-11111-1-1-1-111-1-1111-1
χ111111111-1-111111111-1111-1-111-1-11-1-111111-1-1-1-1-1-1-11-1-111-111-1-1-1-1-11111-1-111-1-1-11-1-111-1-111-1-111-1-11111-1-111-1-11-1
χ121111111-1-111111111-1111-1-111-1-11-1-111111-1-1-1-1-1-1-11-1-111-111-1-1-1-1-111-1-11111-1-1-11-1-1111-11-111-1-1-1-111-1-111-1-111-11
χ131111111-1-111111111-1111-1-111-1-11-1-11-1-1-1-11111111-111-1-1-111-1-1-1-11-1-111-1-1-1-1111-111-1-11-11-111-1-1-1-11111-1-1-1-1111-1
χ141111111-1-111111111-1111-1-111-1-11-1-11-1-1-1-11111111-111-1-1-111-1-1-1-11-1-1-1-111-1-1111-111-1-1-1-111-1-111-1-111-1-11111-1-1-11
χ151111111-1-111111111-1111-1-111-1-11-1-11-1-1-1-1111111-11-1-111-111-1-1-1-11-1-111-1-1-1-111-11-1-111-11-11-1-11111-1-111-1-1-1-111-11
χ161111111-1-111111111-1111-1-111-1-11-1-11-1-1-1-1111111-11-1-111-111-1-1-1-11-1-1-1-111-1-111-11-1-11111-1-111-1-111-1-1-1-11111-1-11-1
χ17222222-222-22222222-222222-2-222-2-2-2-222-2-2-2-2-2-2-2-2000000-2-2-222-2-22220000-2-2220000000000000000000000000000
χ18222222-222-22222222-222222-2-222-2-2-2-2-2-222222222000000-2-2-222-2-2-2-2-2000022-2-20000000000000000000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-222-222-2-22222220000002-2-2-2-222-2220000-2-2-2-20000000000000000000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-222-2-2-222-2-2-2-2-2-20000002-2-2-2-2222-2-2000022220000000000000000000000000000
χ2122222-122222-1-122-1-12-1-1-122-1-1-1-12-1-12222222-1-1-1-122-1-1-1-12-1-1-1-1-1-12-1-10000-1-1-1-122-1-1-1-102200000-1-1-1-10000000000
χ2222222-122222-1-122-1-12-1-1-122-1-1-1-12-1-12222222-1-1-1-1-2-211112-1-1-1-1-1-12-1-10000-1-1-1-1-2-211110-2-20000011110000000000
χ2322222-122222-1-122-1-12-1-1-122-1-1-1-12-1-12-2-2-2-2-2-2111122-1-1-1-12-1-1-1-1-1-1-2110000111122-1-1-1-10-2-20000011110000000000
χ2422222-122222-1-122-1-12-1-1-122-1-1-1-12-1-12-2-2-2-2-2-21111-2-211112-1-1-1-1-1-1-21100001111-2-2111102200000-1-1-1-10000000000
χ2522222-12-2-222-1-122-1-1-2-1-1-1-2-2-1-11121122222-2-211112-2-1-111-2-1-11111-2-1-10000-1-1112-2-1-11102-200000-1-1110000000000
χ2622222-12-2-222-1-122-1-1-2-1-1-1-2-2-1-11121122222-2-21111-2211-1-1-2-1-11111-2-1-10000-1-111-2211-1-10-220000011-1-10000000000
χ2722222-12-2-222-1-122-1-1-2-1-1-1-2-2-1-1112112-2-2-2-222-1-1-1-12-2-1-111-2-1-11111211000011-1-12-2-1-1110-220000011-1-10000000000
χ2822222-12-2-222-1-122-1-1-2-1-1-1-2-2-1-1112112-2-2-2-222-1-1-1-1-2211-1-1-2-1-11111211000011-1-1-2211-1-102-200000-1-1110000000000
χ2922222-1-222-22-1-122-1-1-2-1-1-12211-1-1-211-222-2-2-2-2111100−i3i3−i3i3-211-1-1112-1-1000011-1-100−i3i3−i3i300000000−i3i3−i3i30000000000
χ3022222-1-222-22-1-122-1-1-2-1-1-12211-1-1-211-222-2-2-2-2111100i3−i3i3−i3-211-1-1112-1-1000011-1-100i3−i3i3−i300000000i3−i3i3−i30000000000
χ3122222-1-222-22-1-122-1-1-2-1-1-12211-1-1-211-2-2-22222-1-1-1-100−i3i3−i3i3-211-1-111-2110000-1-11100−i3i3−i3i300000000i3−i3i3−i30000000000
χ3222222-1-222-22-1-122-1-1-2-1-1-12211-1-1-211-2-2-22222-1-1-1-100i3−i3i3−i3-211-1-111-2110000-1-11100i3−i3i3−i300000000−i3i3−i3i30000000000
χ3322222-1-2-2-2-22-1-122-1-12-1-1-1-2-21111-2-1-1-222-2-222-1-1-1-100−i3i3i3−i321111-1-1-2-1-10000111100−i3i3i3−i300000000−i3i3i3−i30000000000
χ3422222-1-2-2-2-22-1-122-1-12-1-1-1-2-21111-2-1-1-222-2-222-1-1-1-100i3−i3−i3i321111-1-1-2-1-10000111100i3−i3−i3i300000000i3−i3−i3i30000000000
χ3522222-1-2-2-2-22-1-122-1-12-1-1-1-2-21111-2-1-1-2-2-222-2-2111100−i3i3i3−i321111-1-12110000-1-1-1-100−i3i3i3−i300000000i3−i3−i3i30000000000
χ3622222-1-2-2-2-22-1-122-1-12-1-1-1-2-21111-2-1-1-2-2-222-2-2111100i3−i3−i3i321111-1-12110000-1-1-1-100i3−i3−i3i300000000−i3i3i3−i30000000000
χ372222-122222-122-1-12-12-1-1-1-1-12222-122-10000000000222222-1-1-1-1-1-1-100022220000-1-1-1-1-1-12002-1-1-1-10000-1-1-1-1000000
χ382222-122222-122-1-12-12-1-1-1-1-12222-122-10000000000222222-1-1-1-1-1-1-1000-2-2-2-20000-1-1-1-1-1-1-200-2111100001111000000
χ392222-122222-122-1-12-12-1-1-1-1-12222-122-10000000000-2-2-2-2-2-2-1-1-1-1-1-1-100022220000111111-200-211110000-1-1-1-1000000
χ402222-122222-122-1-12-12-1-1-1-1-12222-122-10000000000-2-2-2-2-2-2-1-1-1-1-1-1-1000-2-2-2-200001111112002-1-1-1-100001111000000
χ412222-122-2-22-122-1-12-1-2-1-1-11122-2-2-1-2-2-100000000002-222-2-21-1-1111100022-2-20000-11-1-111200-2-1-1110000-1-111000000
χ422222-122-2-22-122-1-12-1-2-1-1-11122-2-2-1-2-2-100000000002-222-2-21-1-11111000-2-2220000-11-1-111-200211-1-1000011-1-1000000
χ432222-122-2-22-122-1-12-1-2-1-1-11122-2-2-1-2-2-10000000000-22-2-2221-1-1111100022-2-200001-111-1-1-200211-1-10000-1-111000000
χ442222-122-2-22-122-1-12-1-2-1-1-11122-2-2-1-2-2-10000000000-22-2-2221-1-11111000-2-22200001-111-1-1200-2-1-111000011-1-1000000
χ452-22-22202-2022-2-2-2-2202-2-22-2002-20000002i−2i2i−2i2i2i−2i−2i0000000002-200000−i2i2−i2i22i−2i00000000000000000000−i2i2−i2i22−22−200
χ462-22-22202-2022-2-2-2-2202-2-22-2002-20000002i−2i2i−2i2i2i−2i−2i0000000002-200000i2−i2i2−i22i−2i00000000000000000000i2−i2i2−i2−22−2200
χ472-22-22202-2022-2-2-2-2202-2-22-2002-2000000−2i2i−2i2i−2i−2i2i2i0000000002-200000−i2i2−i2i2−2i2i00000000000000000000−i2i2−i2i2−22−2200
χ482-22-22202-2022-2-2-2-2202-2-22-2002-2000000−2i2i−2i2i−2i−2i2i2i0000000002-200000i2−i2i2−i2−2i2i00000000000000000000i2−i2i2−i22−22−200
χ492-22-2220-22022-2-2-2-2202-2-2-2200-220000002i−2i−2i2i−2i−2i2i2i000000000-2200000−i2i2i2−i22i−2i00000000000000000000−i2i2i2−i22−2−2200
χ502-22-2220-22022-2-2-2-2202-2-2-2200-220000002i−2i−2i2i−2i−2i2i2i000000000-2200000i2−i2−i2i22i−2i00000000000000000000i2−i2−i2i2−222−200
χ512-22-2220-22022-2-2-2-2202-2-2-2200-22000000−2i2i2i−2i2i2i−2i−2i000000000-2200000−i2i2i2−i2−2i2i00000000000000000000−i2i2i2−i2−222−200
χ522-22-2220-22022-2-2-2-2202-2-2-2200-22000000−2i2i2i−2i2i2i−2i−2i000000000-2200000i2−i2−i2i2−2i2i00000000000000000000i2−i2−i2i22−2−2200
χ534444-24-444-4-244-2-24-2-4-2-2-2-2-2-4-4442-4-420000000000000000222-2-222000000000000000000000000000000000000000
χ544444-24-4-4-4-4-244-2-24-24-2-2-222-4-4-4-424420000000000000000-22222-2-2000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000000000044-2-2-2-2-211111100000000000-2-211110000000000000000000000
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-42222-21111110000000000022-1-1-1-10000000000000000000000
χ574444-2-24-4-44-2-2-2-2-2-21-411122-2-222-222-200000000004-4-2-222211-1-1-1-100000000000-2211-1-10000000000000000000000
χ584444-2-24-4-44-2-2-2-2-2-21-411122-2-222-222-20000000000-4422-2-2211-1-1-1-1000000000002-2-1-1110000000000000000000000
χ594444-2-2-444-4-2-2-2-2-2-21-4111-2-222-2-22222000000000000−2i32i3−2i32i32-1-111-1-10000000000000i3−i3i3−i30000000000000000000000
χ604444-2-2-444-4-2-2-2-2-2-21-4111-2-222-2-222220000000000002i3−2i32i3−2i32-1-111-1-10000000000000−i3i3−i3i30000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-22000000000000−2i32i32i3−2i3-2-1-1-1-1110000000000000i3−i3−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-220000000000002i3−2i3−2i32i3-2-1-1-1-1110000000000000−i3i3i3−i30000000000000000000000
χ6344-4-444400-4-4-444-4-440-44-4004-400400-4000000000000000004-40000000000000000000000000000000000000000000
χ6444-4-444-4004-4-444-4-440-44-400-4400-400400000000000000000-440000000000000000000000000000000000000000000
χ6544-4-44-2400-4-42-24-42-202-2200-2200400-400000023−2323−230000000-22000000000000023−230000000000000000000000000000
χ6644-4-44-2400-4-42-24-42-202-2200-2200400-4000000−2323−23230000000-220000000000000−23230000000000000000000000000000
χ6744-4-44-2-4004-42-24-42-202-22002-200-400400000023−2323−2300000002-20000000000000−23230000000000000000000000000000
χ6844-4-44-2-4004-42-24-42-202-22002-200-4004000000−2323−232300000002-2000000000000023−230000000000000000000000000000
χ6944-4-4-24400-42-44-22-4-202-22004-400-200200000000000000000-2200000000000000000000000000023−2300000000000000
χ7044-4-4-24400-42-44-22-4-202-22004-400-200200000000000000000-22000000000000000000000000000−232300000000000000
χ7144-4-4-24-40042-44-22-4-202-2200-4400200-2000000000000000002-20000000000000000000000000−2i32i30000000000000000
χ7244-4-4-24-40042-44-22-4-202-2200-4400200-2000000000000000002-200000000000000000000000002i3−2i30000000000000000
χ734-44-44-204-404-22-4-42-20-2224-400-220000004i−4i4i−4i−2i−2i2i2i000000000-22000000000−2i2i000000000000000000000000000000
χ744-44-44-204-404-22-4-42-20-2224-400-22000000−4i4i−4i4i2i2i−2i−2i000000000-220000000002i−2i000000000000000000000000000000
χ754-44-44-20-4404-22-4-42-20-222-44002-20000004i−4i−4i4i2i2i−2i−2i0000000002-2000000000−2i2i000000000000000000000000000000
χ764-44-44-20-4404-22-4-42-20-222-44002-2000000−4i4i4i−4i−2i−2i2i2i0000000002-20000000002i−2i000000000000000000000000000000
χ774-44-4-2404-40-24-422-4-20-222-22004-400000000000000000000000-2200000−2i22i2−2i22i20000000000000000000000i2−i2i2−i2000000
χ784-44-4-2404-40-24-422-4-20-222-22004-400000000000000000000000-22000002i2−2i22i2−2i20000000000000000000000−i2i2−i2i2000000
χ794-44-4-240-440-24-422-4-20-2222-200-44000000000000000000000002-200000−2i22i22i2−2i20000000000000000000000i2−i2−i2i2000000
χ804-44-4-240-440-24-422-4-20-2222-200-44000000000000000000000002-2000002i2−2i2−2i22i20000000000000000000000−i2i2i2−i2000000
χ814-4-44440000-4-4-4-44440-4-4400000000004-400000000000000000000004-4000000000000000000000000000000000000
χ824-4-44440000-4-4-4-44440-4-440000000000-440000000000000000000000-44000000000000000000000000000000000000
χ834-4-444-20000-422-44-2-2022-20000000−2i32i304-40000−2i32i32i3−2i300000000000−2i32i30-22000000000000000000000000000000000000
χ844-4-444-20000-422-44-2-2022-20000000−2i32i30-4400002i3−2i3−2i32i300000000000−2i32i302-2000000000000000000000000000000000000
χ854-4-444-20000-422-44-2-2022-200000002i3−2i304-400002i3−2i3−2i32i3000000000002i3−2i30-22000000000000000000000000000000000000
χ864-4-444-20000-422-44-2-2022-200000002i3−2i30-440000−2i32i32i3−2i3000000000002i3−2i302-2000000000000000000000000000000000000
χ8788-8-8-4-4800-844-4-44420-22-200-4400-4004000000000000000002-20000000000000000000000000000000000000000000
χ8888-8-8-4-4-800844-4-44420-22-2004-400400-400000000000000000-220000000000000000000000000000000000000000000
χ898-88-8-4-408-80-4-44444202-2-2-4400-44000000000000000000000002-200000000000000000000000000000000000000000
χ908-88-8-4-40-880-4-44444202-2-24-4004-400000000000000000000000-2200000000000000000000000000000000000000000
χ918-8-88-4800004-8-84-48-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400004444-4-420-2-220000000−4i34i300000000000000000000002i3−2i3000000000000000000000000000000000000000
χ938-8-88-4-400004444-4-420-2-2200000004i3−4i30000000000000000000000−2i32i3000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).